Question 1154864
Rate of work of first team = {{{(4/5)(1/x)}}} = {{{4/5x}}}
Rate of work of second team = {{{1/x}}}
<pr>
Rate of work working together = {{{(4/5x) + (1/x)}}} = {{{1/15}}} --> {{{(4/5x) + (5/5x)}}} = {{{1/15}}} --> {{{(9/5x)}}} = {{{1/15}}} --> {{{5x = 135}}} -->  {{{x =  27}}}
<pr>
Plug in x = 27:
<pr>
Rate of work of first team = {{{(4/5)(1/x)}}} = {{{4/5x}}} = {{{4/135}}}
Rate of work of second team = {{{1/x}}} = {{{1/27}}}
<pr>
Since the first team completes 4/135 of the job per day, this means it will take them 135/4 days...or 33.75 days...to complete the job working alone.
<pr>
Since the second team completes 1/27 of the job per day, this means it will take them 27 days to complete the job working alone.